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23641440 = 253549253
BaseRepresentation
bin101101000101…
…1110101100000
31122111002221220
41122023311200
522023011230
62202415040
7404643324
oct132136540
948432856
1023641440
1112388189
127b01480
134b89a24
1431d5984
15211ed10
hex168bd60

23641440 has 48 divisors (see below), whose sum is σ = 74472048. Its totient is φ = 6304256.

The previous prime is 23641433. The next prime is 23641451. The reversal of 23641440 is 4414632.

23641440 = 5762 + 5772 + ... + 6392.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23641440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24147 + ... + 25106.

It is an arithmetic number, because the mean of its divisors is an integer number (1551501).

Almost surely, 223641440 is an apocalyptic number.

23641440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23641440 is an abundant number, since it is smaller than the sum of its proper divisors (50830608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23641440 is a wasteful number, since it uses less digits than its factorization.

23641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49271 (or 49263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23641440 is about 4862.2463944148. The cubic root of 23641440 is about 287.0062198428.

The spelling of 23641440 in words is "twenty-three million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 49253 98506 147759 197012 246265 295518 394024 492530 591036 738795 788048 985060 1182072 1477590 1576096 1970120 2364144 2955180 3940240 4728288 5910360 7880480 11820720 23641440